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Finding the Fourth Proportional to 23,805.71, 35,708.21 and 5,794.00

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Solution

The fourth proportional to 23,805.71, 35,708.21 and 5,794.00 is: 8,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.71 : 35,708.21 = 5,794.00 : x
  2. Step 2: Convert to fraction form
    23,805.71/35,708.21 = 5,794.00/x
  3. Step 3: Cross multiply
    23,805.71x = 35,708.21 × 5,794.00
  4. Step 4: Simplify right side
    23,805.71x = 206,893,491.09
  5. Step 5: Solve for x
    x = 206,893,491.09/23,805.71
  6. Step 6: Final answer
    x = 8,690.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.